English

Kink-like solution for the Lorentz0violating \phi^4 theory equation of motion with dissipation

High Energy Physics - Theory 2021-03-17 v1 Pattern Formation and Solitons Exactly Solvable and Integrable Systems

Abstract

A (1+1)-dimension equation of motion for \phi^4 theory is considered for the case of simultaneou taking into account the processes of dissipation and violation the Lorentz-invariance. A topological non-trivial solution of one-kink type for this equation is constructed in an analytical form. The modofied Hirota method for a solving the nonlinear partial differential equations is applied. A modification of the method led to the special conditions on parameters of the model and solution.

Keywords

Cite

@article{arxiv.2103.08596,
  title  = {Kink-like solution for the Lorentz0violating \phi^4 theory equation of motion with dissipation},
  author = {M. A. Knyazev},
  journal= {arXiv preprint arXiv:2103.08596},
  year   = {2021}
}

Comments

7 pages